Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
480 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 205 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #14521157 | C2 | direct (N × H) |
| 14. C2×Dic124 | C4 | semidirect |
| 39. Dic124 | C2×C4 | semidirect |
| 72. C2×C31 | #441 | semidirect |
| 89. C31 | C2×#441 | semidirect |
| 134. C2 | #14521157 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic124 | 2 |
| C2×C4×Dic62 | 2 |
| #14521157 | 2 |
| C2×#11758405 | 2 |
| C2×#11758404 | 2 |
| C2×C31×#97 | 2 |
| C2×#441 | 31 |